Only as a learning exercise.
Be careful replacing parts that are in parallel to the driver as the old parts may have ESR that is part of the design. That’s actually true for all caps and coils but the one’s in parallel can cause unexpected impedance swings if not kept.
If you go down this path I strongly encourage you to get an impedance test tool like this one from Dayton (as used by some mega brands) or you can build a free one and use Room EQ Wizard. The benefits of this vs. a single cap/coil tester is you use it to test the entire speaker as well as individual components. It will measure uF/mH as well as ESR/DCR. Measure the speakers before hand, and after to make sure all is well.
If things don’t work it’s an incredibly good diagnostic tool. It’s kind of easy to tell what broke, also you can plug the data into a tool like XSim or VituixCAD to do a full electrical simulation.